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Simplifying 7k + -11 = 3(k + -1) Reorder the terms: -11 + 7k = 3(k + -1) Reorder the terms: -11 + 7k = 3(-1 + k) -11 + 7k = (-1 * 3 + k * 3) -11 + 7k = (-3 + 3k) Solving -11 + 7k = -3 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -11 + 7k + -3k = -3 + 3k + -3k Combine like terms: 7k + -3k = 4k -11 + 4k = -3 + 3k + -3k Combine like terms: 3k + -3k = 0 -11 + 4k = -3 + 0 -11 + 4k = -3 Add '11' to each side of the equation. -11 + 11 + 4k = -3 + 11 Combine like terms: -11 + 11 = 0 0 + 4k = -3 + 11 4k = -3 + 11 Combine like terms: -3 + 11 = 8 4k = 8 Divide each side by '4'. k = 2 Simplifying k = 2
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